Alocal plumber charges a house call fee of $25 plus $25 per hour for repair work. how many hours did he work on your sink if your bill comes to $62.50?

1 hour and 30 minutes (1.5 hours)

Step-by-step explanation:

$25 per hour is our slope and $25 call fee is our y-intercept.

We can write a linear function in slope-intercept form like this:

Where m is your slope, y is the total cost, x is the hours worked b is your y-intercept.  Therefore using the information above we obtain:

Since the bill comes out to be $62.50 that means that y=62.50 by substituting that value we have to solve for x since x is the amount of hours worked we obtain:

Since x = 1.5 this means that the plumber worked for one and a half hours or 1 hour and 30 minutes.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.